Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695578 | Automatica | 2013 | 8 Pages |
Abstract
The paper presents realization theory of discrete-time linear switched systems. We present necessary and sufficient conditions for an input–output map to admit a discrete-time linear switched system realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we prove that minimal realizations are unique up to isomorphism. We also discuss algorithms for converting a linear switched system to a minimal one and for constructing a state-space representation from input–output data. The paper uses the theory of rational formal power series in non-commutative variables.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mihály Petreczky, Laurent Bako, Jan H. van Schuppen,